Name
Abstract | ||
|---|---|---|
This paper devises a computational method for solving a Cauchy problem of Laplace's equation in multidimensional space. By using the Green formula, the Cauchy problem is transformed to a moment problem so that numerical computations using a regularization technique can be achieved. A stability estimation and a suitable choice of regularization parameter for the proposed method are also given. For numerical verification, a numerical example in the three-dimensional case is presented. |
Year | DOI | Venue |
|---|---|---|
2003 | 10.1137/S0363012901389391 | SIAM J. Control and Optimization |
Keywords | Field | DocType |
regularization technique,green formula,computational method,regularization parameter,moment problem,numerical example,multidimensional cauchy problem,cauchy problem,numerical verification,numerical computation | Cauchy problem,Laplace transform,Mathematical analysis,Laplace's equation,Regularization (mathematics),Initial value problem,Numerical analysis,Cauchy's convergence test,Moment problem,Mathematics | Journal |
Volume | Issue | ISSN |
42 | 2 | 0363-0129 |
Citations | PageRank | References |
3 | 0.71 | 0 |
Authors | ||
3 | ||